8(x+4)-2(y-1)=70-3y

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Solution for 8(x+4)-2(y-1)=70-3y equation: 


Simplifying
8(x + 4) + -2(y + -1) = 70 + -3y

Reorder the terms:
8(4 + x) + -2(y + -1) = 70 + -3y
(4 * 8 + x * 8) + -2(y + -1) = 70 + -3y
(32 + 8x) + -2(y + -1) = 70 + -3y

Reorder the terms:
32 + 8x + -2(-1 + y) = 70 + -3y
32 + 8x + (-1 * -2 + y * -2) = 70 + -3y
32 + 8x + (2 + -2y) = 70 + -3y

Reorder the terms:
32 + 2 + 8x + -2y = 70 + -3y

Combine like terms: 32 + 2 = 34
34 + 8x + -2y = 70 + -3y

Solving
34 + 8x + -2y = 70 + -3y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-34' to each side of the equation.
34 + 8x + -34 + -2y = 70 + -34 + -3y

Reorder the terms:
34 + -34 + 8x + -2y = 70 + -34 + -3y

Combine like terms: 34 + -34 = 0
0 + 8x + -2y = 70 + -34 + -3y
8x + -2y = 70 + -34 + -3y

Combine like terms: 70 + -34 = 36
8x + -2y = 36 + -3y

Add '2y' to each side of the equation.
8x + -2y + 2y = 36 + -3y + 2y

Combine like terms: -2y + 2y = 0
8x + 0 = 36 + -3y + 2y
8x = 36 + -3y + 2y

Combine like terms: -3y + 2y = -1y
8x = 36 + -1y

Divide each side by '8'.
x = 4.5 + -0.125y

Simplifying
x = 4.5 + -0.125y

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